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Electronic Notes in Theoretical Computer Science
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Rewritings for Polarized Multiplicative and Exponential Proof Structures

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Mar 2008 France English Publisher:Elsevier BVJournal:Electronic Notes in Theoretical Computer Science, volume 203, pages 109-121 (issn: 1571-0661, Copyright policy )
Authors: Fouqueré, Christophe; Mogbil, Virgile;

doi: 10.1016/j.entcs.2008.03.037

Rewritings for Polarized Multiplicative and Exponential Proof Structures

Abstract

AbstractWe study conditions for a concurrent construction of proof-nets in the framework of linear logic following Andreoli's works. We define specific correctness criteria for that purpose. We first study the multiplicative case and show how the correctness criterion given by Danos and decidable in linear time, may be extended to closed modules (i.e. validity of polarized proof structures). We then study the exponential case and give a correctness criterion by means of a contraction relation that helps to discover frontiers of exponential boxes.

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Keywords

proof-nets, [INFO.INFO-DC]Computer Science [cs]/Distributed, [INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], [INFO.INFO-LO]Computer Science [cs]/Logic in Computer Science [cs.LO], focalization, Parallel, 004, Theoretical Computer Science, logic programming, and Cluster Computing [cs.DC], linear logic, [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], concurrent execution, Computer Science(all)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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gold